10100111012101 has 16 divisors (see below), whose sum is σ = 11465636497920. Its totient is φ = 8816379531120.

The previous prime is 10100111012087. The next prime is 10100111012141. The reversal of 10100111012101 is 10121011100101.

10100111012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100111012101 - 2⁷ = 10100111011973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111012141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180932265 + ... + 180988078.

It is an arithmetic number, because the mean of its divisors is an integer number (716602281120).

Almost surely, 2^{10100111012101} is an apocalyptic number.

10100111012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100111012101 is a deficient number, since it is larger than the sum of its proper divisors (1365525485819).

10100111012101 is a wasteful number, since it uses less digits than its factorization.

10100111012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361920456.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100111012101 its reverse (10121011100101), we get a palindrome (20221122112202).

The spelling of 10100111012101 in words is "ten trillion, one hundred billion, one hundred eleven million, twelve thousand, one hundred one".